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Q.

A long block A is at rest on a smooth horizontal surface. A small block B whose mass is half of A, is placed on A at one end projected along A with some velocity v. The coefficient of friction between the block is μ .

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a

Before the blocks reach a common velocity the acceleration of A relative to B is2/3μg

b

Before the blocks reach a common velocity the acceleration of B relative to A is3/2μg

c

The work against friction is2/3 of initial kinetic energy of B

d

The block will reach a final common velocity v/3

answer is A, C.

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